Vacua of Massive Hyper-Kähler Sigma Models with Non-Abelian Quotient

The Higgs branch of N=2 supersymmetric gauge theories with non-Abelian gauge groups is described by hyper-Kähler (HK) nonlinear sigma models with potential terms. Using the non-Abelian HK quotient with respect to U(M) and S U(M) gauge groups, we derive the massive HK sigma models that are not toric...

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Bibliographic Details
Published in:Progress of theoretical and experimental physics 2005-03, Vol.113 (3), p.657-685
Main Authors: Arai, Masato, Nitta, Muneto, Sakai, Norisuke
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
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Summary:The Higgs branch of N=2 supersymmetric gauge theories with non-Abelian gauge groups is described by hyper-Kähler (HK) nonlinear sigma models with potential terms. Using the non-Abelian HK quotient with respect to U(M) and S U(M) gauge groups, we derive the massive HK sigma models that are not toric in the N=1 superfield formalism and the harmonic superspace formalism. The U(M) quotient gives N[M! (N−M)!] discrete vacua that may allow various types of domain walls, whereas the S U(M) quotient gives no discrete vacua.
ISSN:0033-068X
2050-3911
1347-4081
DOI:10.1143/PTP.113.657